ECAT Pre Engineering MCQ Test With Answer for Mathematics Full Book

Sine is a periodic function and its period is ______

• π A
• s B
• 2π C
• 4π
  D

If a statement S(n) is true for n = i where i is some natural number and the truth of S(n) for n = k > i implies the truth of S(n) for n = k +1 then S(n) is true for all positive integers

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The number of permutation that can be formed from the letters of the word OBJECT is

• 700 A
• 600 B
• 720 C
• 620 D

• 2 A
• 
  B
• 
  C
• 0 D

The solution set of sin x + cos x = 0 is

• 
  A
• 
  B
• 
  C
• 
  D

If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve of intersection is

• a circle A
• an ellipse B
• a parabola C
• a hyperbola D

Which of the following represents a vector

• 
  A
• 
  B
• 
  C
• (x, y) D

A particle moving in a straight line with velocity V = (4-t2) where t is the line from a fixed point. The acceleration of the particle after 4 sec is.

• -8 m/ sec² A
• -4 m/sec B
• -8m/sec C
• -4m/sec2 D

The point ________ is in the solution of the inequality 4x - 3y < 2

• (0,1) A
• (2,1) B
• (2,2) C
• (3,3) D

The set of natural is a semi group w.r.t

• Addition A
• Division B
• Subtraction C
• None of these D

• 1 A
• 2 B
• 3 C
• 4 D

• 1 A
• 3 B
• 2-i C
• -1 D

Period of tan 4x is ______

• 
  A
• 
  B
• 
  C
• 
  D

The total number of subsets that can be formed out of the set {a, b, c} is

• 1 A
• 4 B
• 8 C
• 12 D

(x³-1/2x)⁶ is

• 15/16 x² A
• 2/13 x² B
• 17/7 x² C
• 16/15 x² D

The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is

• a > 0 A
• a < 0 B
• a≠ 0 C
• a≠ 0,b ≠ 0 D

Three points (-2,2) (8,-2) and (-4,3) are vertices of a :

• Isosceles triangle A
• right-angled triangle B
• Equilateral trainagle C
• Rectangle D

• 
  A
• 
  B
• 
  C
• 
  D

• 1/3 A
• 1 B
• 3 C
• None of these D

An open sentence formed by using the sign of equality "=" is called

• Equation A
• In equation B
• True sentence C
• False sentence D

The greatest term in the expansion of (3+2x)⁹, when x=1 is

• 4th A
• 4th and 5th B
• 5th C
• 6th D

Solving the eqution x2+(a+b) x +ab=0 for gives:

• x = -a. x = b A
• x = a, x =-b B
• x=-a, x=-b C
• x =a, x =b D

arb mean

• a is related to b A
• b is related to a B
• a is reciprocal of b C
• a is not related to b D

• 
  A
• 
  B
• 
  C
• 
  D

If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is

• x²+ Sx - P = 0 A
• x²- Sx + P = 0 B
• x²- Sx - P = 0 C
• X²+ Sx + P = 0 D

The periods of the function f(x) = x[x] is

• 1 A
• 2 B
• Non periodic C
• None of these D

Cos (cos4π/3)=

• π/2 A
• π/3 B
• 2π/3 C
• -π/3 D

Ifθ= 60° then

• sinθ= 1/2 A
• tanθ= cot 30° B
• θ=π/4 C
• secθ= 4 D

If n is any positive integer then 2ⁿ> 2(n + 1) is true for all

• 
  A
• 
  B
• 
  C
• 
  D